On the position-dependent effective mass Hamiltonian
نویسندگان
چکیده
منابع مشابه
Shape-invariant quantum Hamiltonian with position-dependent effective mass through second order supersymmetry
Second order supersymmetric approach is taken to the system describing motion of a quantum particle in a potential endowed with position-dependent effective mass. It is shown that the intertwining relations between second order partner Hamiltonians may be exploited to obtain a simple shape-invariant condition. Indeed a novel relation between potential and mass functions is derived, which leads ...
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C. F. Huang, S. D. Chao, and D. R. Hang 1Department of Physics, National Taiwan University, Taipei, Taiwan, R. O. C. 2National Measurement Laboratory, Center for Measurement Standards, Industrial Technology Research Institute, Hsinchu, Taiwan 300, R. O. C. 3 Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan, R. O. C. 4 Department of Materials Science and Optoelectronic ...
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A generalized non-Hermitian oscillator Hamiltonian is proposed that consists of additional linear terms which break PT -symmetry explicitly. The model is put into an equivalent Hermitian form by means of a similarity transformation and the criterion of N -fold supersymmetry with a position-dependent mass is shown to reside in it.
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Exact solutions of the Schrödinger equation are obtained for the Rosen-Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two different forms of mass distributions are used. A set of the energy eigenvalues of the bound states a...
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ژورنال
عنوان ژورنال: The European Physical Journal Plus
سال: 2020
ISSN: 2190-5444
DOI: 10.1140/epjp/s13360-020-00476-8